On the Injection of Relativistic Electrons in the Jet of 3C 279

Abstract

The acceleration of electrons in 3C 279 is investigated through analyzing the injected electron energy distribution (EED) in a time-dependent synchrotron self-Compton + external Compton emission model. In this model, it is assumed that relativistic electrons are continuously injected into the emission region, and the injected EED [$Q_e^{\prime }({\gamma }^{\prime })$] follows a single power-law form with low- and high-energy cutoffs ${\gamma }_{\min }^{\prime }$ and ${\gamma }_{\max }^{\prime }$, respectively, and the spectral index $n$, i.e, $Q_e^{\prime }({\gamma }^{\prime })\propto {\gamma }^{\prime -n}$. This model is applied to 14 quasi-simultaneous spectral energy distributions (SEDs) of 3C 279. The Markov Chain Monte Carlo fitting technique is performed to obtain the best-fitting parameters and the uncertainties on the parameters. The results show that the injected EED is well constrained in each state. The value of $n$ is in the range of 2.5 to 3.8, which is larger than that expected by the classic non-relativistic shock acceleration. However, the large value of $n$ can be explained by the relativistic oblique shock acceleration. The flaring activity seems to be related to an increased acceleration efficiency, reflected in an increased ${\gamma }_{\min }^{\prime }$ and electron injection power.

18 pages, 12 figures, 3 tables, accepted for publication in MNRAS

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Cited by in corpus (2)

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• Correlations between $\gamma$-ray luminosity and magnetization of the jet as well as relativistic electron injection power:cases for Mrk 421, 3C 454.3 and 3C 279